20240140133400 has 648 divisors, whose sum is σ = 70404544172340. Its totient is φ = 4806491923200.

The previous prime is 20240140133399. The next prime is 20240140133407. The reversal of 20240140133400 is 433104104202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20240140133407) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 71519929659 + ... + 71519929941.

Almost surely, 2^{20240140133400} is an apocalyptic number.

20240140133400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20240140133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35202272086170).

20240140133400 is an abundant number, since it is smaller than the sum of its proper divisors (50164404038940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20240140133400 is a wasteful number, since it uses less digits than its factorization.

20240140133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Multiplying 20240140133400 by its sum of digits (24), we get a square (485763363201600 = 22040040²).

20240140133400 divided by its sum of digits (24) gives a square (843339172225 = 918335²).

Adding to 20240140133400 its reverse (433104104202), we get a palindrome (20673244237602).

The spelling of 20240140133400 in words is "twenty trillion, two hundred forty billion, one hundred forty million, one hundred thirty-three thousand, four hundred".